Infinite dimensional families of Calabi–Yau threefolds and moduli of vector bundles

Abstract

We study noncompact Calabi–Yau threefolds, their moduli spaces of vector bundles and deformation theory. We present Calabi–Yau threefolds that have infinitely many distinct deformations, constructing them explicitly, and describe the effect that such deformations produce on moduli spaces of vector bundles.